Question

How to simplify radicals with coefficient?
3√ ̅512

Answer 1

Remember the property that \[\sqrt{a} * \sqrt{b} = \sqrt{ab}\] Knowing that, you can separate 512 into two products, one that is a perfect square.
So, 512 is the same as 256 * 2, and the sqrt(256) is 16. Can you figure it out from there?

Answer 2

@bibby

Answer 3

is that \(\huge \sqrt[3]{512}\) ?

Answer 4

Yes sir

Answer 5

oh i misread that then

Answer 6

Haha it's fine

Answer 7

well 512 = 64*8
and 64 = 8 * 8

and \(\sqrt[3]{a*b}=\sqrt[3]{a}*\sqrt[3]{b}\\ soooo\\ \sqrt[3]{512}=\sqrt[3]{64*8}\)

Answer 8

Same concept, you just need to find factors of 512 that can be third rooted